JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Equation of Pair of Straight Lines

  • question_answer
    The equation \[{{(x+y)}^{2}}-({{x}^{2}}+{{y}^{2}})=0\] represents

    A)            A circle                                      

    B)            Two lines

    C)            Two parallel lines

    D)            Two mutually perpendicular lines

    Correct Answer: D

    Solution :

               Given equation \[2xy=0\Rightarrow x=0\] and\[y=0.\]                    Hence these are two mutually perpendicular lines (both axes).


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